11565642 has 64 divisors (see below), whose sum is σ = 27786240. Its totient is φ = 3168000.

The previous prime is 11565637. The next prime is 11565647. The reversal of 11565642 is 24656511.

It is an interprime number because it is at equal distance from previous prime (11565637) and next prime (11565647).

It is not an unprimeable number, because it can be changed into a prime (11565647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28642 + ... + 29042.

It is an arithmetic number, because the mean of its divisors is an integer number (434160).

Almost surely, 2^11565642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11565642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13893120).

11565642 is an abundant number, since it is smaller than the sum of its proper divisors (16220598).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11565642 is a wasteful number, since it uses less digits than its factorization.

11565642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459.

The product of its digits is 7200, while the sum is 30.

The square root of 11565642 is about 3400.8296046700. The cubic root of 11565642 is about 226.1465230954.

The spelling of 11565642 in words is "eleven million, five hundred sixty-five thousand, six hundred forty-two".